
We derive the totality of known fundamental physics from a single axiom: Maximum Entropy Production (MEP). No geometric input is assumed. No physical constant is fitted. The theory contains zero adjustable parameters. Via Perelman's entropy-monotonic Ricci flow, MEP uniquely selects the round three-sphere S³ (isomorphic to SU(2)) as the spatial micro-geometry. The topological action S_cell = π²/2 is derived from MaxCal dynamics on S³, generating the universal Boltzmann weight α₀ = exp(−π²/2) ≈ 7.19 × 10⁻³. The Standard Model gauge group SU(3)c × SU(2)L × U(1)Y emerges from Hurwitz–Cartan octonion completion. Three fermion generations follow from the Adams theorem on S³. The framework produces 100 Level-0 predictions spanning 60 orders of magnitude, including: — The fine-structure constant: α⁻¹ = exp(π²/2) − 2 + 1/55 = 137.064 (0.02% deviation) — All nine fermion masses from a single formula mf = cf × M★ × α₀^qf, with exponents and prefactors derived from the Dirac spectrum on S³ — The full CKM and PMNS mixing matrices (14/14 parameters from Haar measure and polyhedral holonomy) — The cosmological constant: λΛ = α₀⁵⁶ / (2√3 π²) ≈ 2.81 × 10⁻¹²² (1.1% deviation) — The Hubble tension ratio: H_local / H_CMB = 1 + √α₀ ≈ 1.085 (0.05% deviation) — The dark-to-baryonic matter ratio: Ωc/Ωb = 65/12 = 5.417 (1.1% deviation) — The proton mass, neutron–proton mass splitting, Higgs mass, Weinberg angle, and 80+ additional observables Performance: median deviation 0.88% across 38 continuous observables, with 89% falling below 3% and 50% below 1%. The number π is not a mathematical convenience but the unique self-consistent fixed point of the theory, closing the cycle MEP → Perelman → S³ → π²/2 → α₀ → Standard Model through the gravitational identity π⁶ = 960 × exp₃(η) (verified to 0.4 ppm). Seven epistemological stress-tests are addressed with full mathematical proofs (Appendices H–O), covering: the status of the mass anchor M★, the spectral anatomy of α⁻¹, the cosmological coincidence problem, Lorentzian time emergence via Osterwalder–Schrader reconstruction, renormalization scale anchoring, the Lichnerowicz obstruction for neutrinos, and the gravitational self-consistency loop. An additional appendix (P) resolves the black hole information paradox within the framework, predicting a negative linear quantum correction to Bekenstein–Hawking entropy — unique among all quantum-gravity approaches. The paper lists 20 near-term falsifiable wagers testable by DUNE, JUNO, LiteBIRD, CMB-S4, DESI, Euclid, and HL-LHC between 2026 and 2035. Zero free parameters means a single significant discrepancy kills the entire framework.
Keywords: maximum entropy production, Ricci flow, Perelman entropy, three-sphere, Standard Model, gauge unification, fermion masses, mixing matrices, cosmological constant, Hubble tension, zero free parameters, falsifiable predictions, Maximum Entropy Production, S³ Topology, Fine-Structure Constant, Fermion Masses, CKM Matrix, Weinberg Angle, Neutrino Mixing, CP Violation, Hubble Tension, KSS Bound, Fundamental Constants, Geometric Physics, Quantum Mechanics, Standard Model
Keywords: maximum entropy production, Ricci flow, Perelman entropy, three-sphere, Standard Model, gauge unification, fermion masses, mixing matrices, cosmological constant, Hubble tension, zero free parameters, falsifiable predictions, Maximum Entropy Production, S³ Topology, Fine-Structure Constant, Fermion Masses, CKM Matrix, Weinberg Angle, Neutrino Mixing, CP Violation, Hubble Tension, KSS Bound, Fundamental Constants, Geometric Physics, Quantum Mechanics, Standard Model
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